We report infrared spectroscopy of the prototypical Seyfert 2 galaxy NGC 10
68, aiming at detection of broad components of hydrogen recombination lines
that originate in the obscured broad-line region. Using the Short Waveleng
th Spectrometer on board the Infrared Space Observatory, we have observed f
or the first time the regions of B beta 2.626 mu m and Pf alpha 7.460 mu m,
and present improved data for B alpha 4.052 mu m No significant broad comp
onents are detected, implying an equivalent visual extinction to the broad-
line region of at least 50 mag and an obscuring column density of at least
10(23) cm(-2). While consistent with a highly obscured broad-line region, a
s required by the classical unified scenario, these limits are not yet sign
ificant enough to discriminate strongly between different torus models or t
o constrain properties of the gas causing the very large X-ray obscuration.
We discuss the systematic limitations of infrared broad-line region search
es and suggest that B alpha may often be the most favorable transition for
future searches.